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Deformation Theory Seminar

Wednesday, February 27, 2008 - 2:00pm

Anton. M. Zeitlin

Yale

Location

University of Pennsylvania

DRL 4N30

Note title and abstract have been changed - moderator was asleep at the wheel

We show that the Yang-Mills equations can be expressed in the form of generalized Maurer-Cartan equations, such that the corresponding algebraic operations are shown to satisfy the defining relations of homotopy Lie superalgebra. Using these constructions we obtain that BV Yang-Mills action can be expressed in the form of Homotopy Chern-Simons action. We also discuss nontrivial extensions of the above constructions in the presence of matter fields. Based on: Extensions of the Homotopy Lie Algebra of the Yang-Mills Theory: Important Examples, arXiv:0711.3843 BV Yang-Mills as a Homotopy Chern-Simons, arXiv:0709.1411 Homotopy Lie Superalgebra in Yang-Mills Theory, Journal of High Energy Physics, JHEP09(2007)068, 2007; arXiv:0708.1773